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Finding the Fourth Proportional to 304.11, 456.14 and 121.64

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Solution

The fourth proportional to 304.11, 456.14 and 121.64 is: 182.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.11 : 456.14 = 121.64 : x
  2. Step 2: Convert to fraction form
    304.11/456.14 = 121.64/x
  3. Step 3: Cross multiply
    304.11x = 456.14 × 121.64
  4. Step 4: Simplify right side
    304.11x = 55,482.89
  5. Step 5: Solve for x
    x = 55,482.89/304.11
  6. Step 6: Final answer
    x = 182.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.